Functions Contents - G

Integral calculus

Basic rules of integration
Table of indefinite integrals

Kinetic equation of free fall
Exponential growth and decay (increase and decrease)

Indefinite integrals of irrational functions

integration by parts formula
integration by parts formula examples
Substitution and definite integration
Substitution and definite integration examples

Differentiation and integration of infinite series examples
Applications of the definite integral
The area of a region in the plane
The area between the graph of a curve and the coordinate axis
The area between the graph of a curve and the coordinate axis examples
The area bounded by a parametric curve
The area of the sector of a curve in polar coordinates
The area of the sector of a curve given in Cartesian (or rectangular) coordinates
The area of the sector of a parametric curve

The area between two curves examples
Length of plane curve, arc length
Arc length of a parametric curve
Arc length of a curve in polar coordinates
The volume of a solid of revolution
The volume of a sphere
The volume of a spherical segment
The volume of a cone
The surface area of a solid of revolution
The lateral surface area of a cone
The surface area of a spherical cap
The surface area of an ellipsoid